The beam shown in Fig Q4 is fabricated from a steel alloy with a yield strength of 185MPA. The beam is a hollow square section with a width of 35mm, depth of 85mm, and a wall-thickness of 8mm. The beam is simply supported at one end and pinned at the other over a span length L of 400mm. It is loaded with two point loads of 20kN and 35kN at a distance 125mm and 350mm from the left hand end respectively. 20 kN 35 kN 125mm 350mm L= 400mm Fig Q4 (a) Calculate the support forces resulting from the loaded beam shown Fig Q4 and sketch the free body diagram. (b) Plot the shear force (SF) and bending moment (BM) diagrams that result from the applied loads. State the maximum values and where they are located.
The beam shown in Fig Q4 is fabricated from a steel alloy with a yield strength of 185MPA. The beam is a hollow square section with a width of 35mm, depth of 85mm, and a wall-thickness of 8mm. The beam is simply supported at one end and pinned at the other over a span length L of 400mm. It is loaded with two point loads of 20kN and 35kN at a distance 125mm and 350mm from the left hand end respectively. 20 kN 35 kN 125mm 350mm L= 400mm Fig Q4 (a) Calculate the support forces resulting from the loaded beam shown Fig Q4 and sketch the free body diagram. (b) Plot the shear force (SF) and bending moment (BM) diagrams that result from the applied loads. State the maximum values and where they are located.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The beam shown in Fig Q4 is fabricated from a steel alloy with a yield strength of
185MPA. The beam is a hollow square section with a width of 35mm, depth of
85mm, and a wall-thickness of 8mm. The beam is simply supported at one end
and pinned at the other over a span length L of 400mm. It is loaded with two
point loads of 20kN and 35kN at a distance 125mm and 350mm from the left
hand end respectively.
20 kN
125mm
35 kN
350mm
L = 400mm
Fig Q4
(a) Calculate the support forces resulting from the loaded beam shown Fig Q4
and sketch the free body diagram.
(b) Plot the shear force (SF) and bending moment (BM) diagrams that result
from the applied loads. State the maximum values and where they are
located.
(c) Calculate the largest axial stress in the beam and sketch the axial stress
profile at this point through the depth of the beam.
(d) Comment on the suitability of the steel alloy.
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